Infinite Dimensional Groups and Algebras in Quantum Physics

The representation theory of infinite-dimensional groups is an important tool for studying conformal field theory, problems in statistical mechanics, and string theory. Using the ideas of classical representation theory and basic facts of functional analysis, the author constructs the spin represent...

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Main Author: Ottesen, Johnny T.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1995, 1995
Edition:1st ed. 1995
Series:Lecture Notes in Physics Monographs
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Summary:The representation theory of infinite-dimensional groups is an important tool for studying conformal field theory, problems in statistical mechanics, and string theory. Using the ideas of classical representation theory and basic facts of functional analysis, the author constructs the spin representations of the infinitesimal orthogonal group and the metaplectic representation of an infinite-dimensional symplectic group. A constructive approach is chosen. The author discusses loop algebras and the Virasoro algebra and gives applications in the last chapter. The text addresses graduate students and is of considerable interest to researchers due to a novel approach closer to the traditional line of reasoning in quantum physics
Physical Description:IX, 218 p online resource
ISBN:9783540491415